Level-rank Koszul duality conjecture for cyclotomic rational DAHAs

Let the matching blocks be as in the intersection-of-series block bijection conjecture, and let $\vec{\nu}_e$ and $\vec{\nu}_m$ be charges for the corresponding specializations. Level-rank Koszul duality conjecture. If the block-bijection conjecture holds, the matching blocks should have bounded derived categories of rational DAHA category $\mathcal{O}$ equivalent in a way that sends standard objects to standard objects. This is the categorical strengthening of the proposed block bijection; the supplied text gives no resolution status.